Large Deviations for Triangle Densities

Explore a conference talk on "Large deviations for triangle densities" presented by Joe Neeman from the University of Texas at Austin at IPAM's Calculus of Variations in Probability and Geometry Workshop. Delve into Borell's inequality and its characterization of boolean-valued functions on Gaussian space with extremal Gaussian noise stability. Discover an extension of this inequality to functions taking values in the sphere. Gain insights into the application of these concepts to the computational complexity of approximating quantum ground states. The presentation covers topics such as previous work, parameters, graphons, k-podal, Central Limit Theorem, and includes a comprehensive proof. Recorded on February 10, 2022, this 28-minute talk offers a deep dive into advanced mathematical concepts at the intersection of probability theory and geometry.